Diagram shows two perpendicular straight lines, ob and cbd, drawn on a cartesian plane. find(a)the equation of the straight line cbd(b)the-x intercept of the straight line dq

(a) y = -3x + 10

Step-by-step explanation:

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula:

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

Step 2: Find the slope of CD (opposite and reciprocal of OB)

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9      distributed -3 into (x - 3)

y      = -3x + 10    added 1 to both sides

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD.  The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x       subtracted 10 from both sides

   divided both sides by -3

assuming you mean addition: addition and subtraction are reverse operations.

step-by-step explanation: